DOI10.1016/j.jcp.2015.12.006zbMath1352.65229OpenAlexW2206898513MaRDI QIDQ729443
Ying Chen, Jie Shen
Publication date: 20 December 2016
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jcp.2015.12.006
A novel second-order linear scheme for the Cahn-Hilliard-Navier-Stokes equations ⋮
A divergence-free HDG scheme for the Cahn-Hilliard phase-field model for two-phase incompressible flow ⋮
Simulating two-phase flows with thermodynamically consistent energy stable Cahn-Hilliard Navier-Stokes equations on parallel adaptive octree based meshes ⋮
A free-energy stable p-adaptive nodal discontinuous Galerkin for the Cahn-Hilliard equation ⋮
Two temporal second-order \(H^1\)-Galerkin mixed finite element schemes for distributed-order fractional sub-diffusion equations ⋮
Multi-phase-field modeling using a conservative Allen-Cahn equation for multiphase flow ⋮
Second-order decoupled energy-stable schemes for Cahn-Hilliard-Navier-Stokes equations ⋮
An energy stable linear numerical method for thermodynamically consistent modeling of two-phase incompressible flow in porous media ⋮
A fully-decoupled discontinuous Galerkin approximation of the Cahn–Hilliard–Brinkman–Ohta–Kawasaki tumor growth model ⋮
Linearly Decoupled Energy-Stable Numerical Methods for Multicomponent Two-Phase Compressible Flow ⋮
A linear unconditionally stable scheme for the incompressible Cahn-Hilliard-Navier-Stokes phase-field model ⋮
An explicit adaptive finite difference method for the Cahn-Hilliard equation ⋮
Convergence analysis and error estimates for a second order accurate finite element method for the Cahn-Hilliard-Navier-Stokes system ⋮
Fully discrete energy stable scheme for a phase-field moving contact line model with variable densities and viscosities ⋮
A pseudo-spectral based efficient volume penalization scheme for Cahn-Hilliard equation in complex geometries ⋮
Fully decoupled pressure projection scheme for the numerical solution of diffuse interface model of two-phase flow ⋮
Fully decoupled monolithic projection method for natural convection problems ⋮
Optimal \(\boldsymbol{{L^2}}\) Error Estimates of Unconditionally Stable Finite Element Schemes for the Cahn–Hilliard–Navier–Stokes System ⋮
A fully-coupled framework for solving Cahn-Hilliard Navier-Stokes equations: second-order, energy-stable numerical methods on adaptive octree based meshes ⋮
Convergence analysis of a temporally second-order accurate finite element scheme for the Cahn-Hilliard-magnetohydrodynamics system of equations ⋮
Accurate and efficient algorithms with unconditional energy stability for the time fractional Cahn–Hilliard and Allen–Cahn equations ⋮
A second-order fully-balanced structure-preserving variational discretization scheme for the Cahn–Hilliard–Navier–Stokes system ⋮
Convergence of a Decoupled Splitting Scheme for the Cahn–Hilliard–Navier–Stokes System ⋮
An efficient and physically consistent numerical method for the Maxwell–Stefan–Darcy model of two‐phase flow in porous media ⋮
Thermodynamically consistent hydrodynamic phase-field computational modeling for fluid-structure interaction with moving contact lines ⋮
An energy stable, conservative and bounds‐preserving numerical method for thermodynamically consistent modeling of incompressible two‐phase flow in porous media with rock compressibility ⋮
The fast scalar auxiliary variable approach with unconditional energy stability for nonlocal Cahn–Hilliard equation ⋮
A phase-field lattice Boltzmann method for liquid-vapor phase change problems based on conservative Allen-Cahn equation and adaptive treegrid ⋮
Linearly first- and second-order, unconditionally energy stable schemes for the phase field crystal model ⋮
Efficient modified stabilized invariant energy quadratization approaches for phase-field crystal equation ⋮
A projection-based, semi-implicit time-stepping approach for the Cahn-Hilliard Navier-Stokes equations on adaptive octree meshes ⋮
Nonconforming mixed finite element method for the diffuse interface model of two-phase fluid flows ⋮
Thermodynamically consistent simulation of nonisothermal diffuse-interface two-phase flow with Peng-Robinson equation of state ⋮
A Physics-Informed Structure-Preserving Numerical Scheme for the Phase-Field Hydrodynamic Model of Ternary Fluid Flows ⋮
Convergent finite element based discretization of a stochastic two‐phase flow model ⋮
Modified diffuse interface fluid model and its consistent energy-stable computation in arbitrary domains ⋮
An adaptive discontinuous finite volume element method for the Allen-Cahn equation ⋮
Analysis of a linearized energy stable numerical scheme for a modified incompressible Cahn-Hilliard-Navier-Stokes system ⋮
Specht Triangle Approximation of Large Bending Isometries ⋮
Bracket formulations and energy- and helicity-preserving numerical methods for incompressible two-phase flows ⋮
A linear, decoupled and positivity-preserving numerical scheme for an epidemic model with advection and diffusion ⋮
An upwind DG scheme preserving the maximum principle for the convective Cahn-Hilliard model ⋮
A novel linear, unconditional energy stable scheme for the incompressible Cahn-Hilliard-Navier-Stokes phase-field model ⋮
Energy stability and convergence of SAV block-centered finite difference method for gradient flows ⋮
Hessian recovery based finite element methods for the Cahn-Hilliard equation ⋮
Local discontinuous Galerkin methods with implicit-explicit multistep time-marching for solving the nonlinear Cahn-Hilliard equation ⋮
A second order fully-discrete linear energy stable scheme for a binary compressible viscous fluid model ⋮
A stabilized phase-field method for two-phase flow at high Reynolds number and large density/viscosity ratio ⋮
Decoupled, non-iterative, and unconditionally energy stable large time stepping method for the three-phase Cahn-Hilliard phase-field model ⋮
Unconditionally energy stable second-order numerical schemes for the functionalized Cahn-Hilliard gradient flow equation based on the SAV approach ⋮
Second Order Fully Discrete Energy Stable Methods on Staggered Grids for Hydrodynamic Phase Field Models of Binary Viscous Fluids ⋮
Entropy stable modeling of non-isothermal multi-component diffuse-interface two-phase flows with realistic equations of state ⋮
Discontinuous finite volume element method for a coupled Navier-Stokes-Cahn-Hilliard phase field model ⋮
Numerical analysis of fully discrete energy stable weak Galerkin finite element scheme for a coupled Cahn-Hilliard-Navier-Stokes phase-field model ⋮
A novel Cahn-Hilliard-Navier-Stokes model with a nonstandard variable mobility for two-phase incompressible fluid flow ⋮
A Decoupled Energy Stable Adaptive Finite Element Method for Cahn–Hilliard–Navier–Stokes Equations ⋮
A novel decoupled second-order time marching scheme for the two-phase incompressible Navier-Stokes/Darcy coupled nonlocal Allen-Cahn model ⋮
Efficient modified techniques of invariant energy quadratization approach for gradient flows ⋮
Analysis of the energy stability for stabilized semi-implicit schemes of the functionalized Cahn-Hilliard mass-conserving gradient flow equation ⋮
A weak Galerkin finite element scheme for the Cahn-Hilliard equation ⋮
Linear energy stable and maximum principle preserving semi-implicit scheme for Allen-Cahn equation with double well potential ⋮
Efficient energy stable schemes for isotropic and strongly anisotropic Cahn-Hilliard systems with the Willmore regularization ⋮
A Novel Energy Factorization Approach for the Diffuse-Interface Model with Peng--Robinson Equation of State ⋮
Stabilized energy factorization approach for Allen-Cahn equation with logarithmic Flory-Huggins potential ⋮
Two fast and efficient linear semi-implicit approaches with unconditional energy stability for nonlocal phase field crystal equation ⋮
Numerical simulations of the dynamics of axisymmetric compound liquid threads with a phase-field model ⋮
On a SAV-MAC scheme for the Cahn–Hilliard–Navier–Stokes phase-field model and its error analysis for the corresponding Cahn–Hilliard–Stokes case ⋮
Linear and unconditionally energy stable schemes for the binary fluid-surfactant phase field model ⋮
Mass conservative and energy stable finite difference methods for the quasi-incompressible Navier-Stokes-Cahn-Hilliard system: primitive variable and projection-type schemes ⋮
Efficient energy-stable schemes for the hydrodynamics coupled phase-field model ⋮
Thermodynamically consistent modeling and simulation of multi-component two-phase flow with partial miscibility ⋮
Uniqueness and Regularity for the Navier--Stokes--Cahn--Hilliard System ⋮
Original variables based energy-stable time-dependent auxiliary variable method for the incompressible Navier-Stokes equation ⋮
Semi-implicit, unconditionally energy stable, stabilized finite element method based on multiscale enrichment for the Cahn-Hilliard-Navier-Stokes phase-field model ⋮
Novel pressure-correction schemes based on scalar auxiliary variable method for the MHD equations ⋮
Thermodynamically consistent phase-field modelling of activated solute transport in binary solvent fluids
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